Question
is this answer right or not 1.Assume that the average firm in your company's industry is expected to grow at a constant rate of 6
is this answer right or not
1.Assume that the average firm in your company's industry is expected to grow at a constant rate of 6 percent and its dividend yield is 7 percent. Your company is about as risky as the average firm in the industry, but it has just successfully completed some R&D work that leads you to expect that its earnings and dividends will grow at a rate of 10 percent [D1 = D0(1+g) = D0(1.50)] this year and 25 percent the following year, after which growth should match the 6 percent industry average rate. The last dividend paid (D0) was $1. What is the value per share of your firm's stock?
1.Assume that the average firm in your company's industry is expected to grow at a constant rate of 6 percent and its dividend yield is 7 percent. Your company is about as risky as the average firm in the industry, but it has just successfully completed some R&D work that leads you to expect that its earnings and dividends will grow at a rate of 10 percent [D1 = D0(1+g) = D0(1.50)] this year and 25 percent the following year, after which growth should match the 6 percent industry average rate. The last dividend paid (D0) was $1. What is the value per share of your firm's stock?
The company growth is different for Year 1 and year 2
Dividend at Year 0
$
1
Dividend at Year 1=1.5 x $1
Dividend at Year 2=1.25 x $1.5
Dividend at Year 2=1.06 x $1.875
1.988
6% growth and 7% Dividend Yield
Value of share at Year 3 start=Present value of Dividend Cash flow annuity at Year 3=D3/Dividend Yield =$ 1.988/7%
$
28.393
a
Present value year 3 share value=$28.39 x PVIF13%,2
$
22.236
b
Present value of Dividend at Year 2=$1.875 x PVIF13%,2
$
1.468
c
Present value of Dividend at Year 1=$1.50 x PVIF13%,1
$
1.327
Present value per share offirm's stock=a+b+c=$22.24+1.47+1.33
$
25.03
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